Dr. Chengjie Wu and Dr. Chong Chen provided computation resource and helped in the code programming, however they believe they did not contribute to the scientific part therefore consider not to be listed as authors. Thus authors agree to replace the manuscript with updated author list.
The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on the struct
ural glass model well represents the magnetic moments in the glassy metal. The model is exactly solved by the recursive calculation technique. The magnetization of the amorphous Ising spins, i.e. the glassy metallic magnet is investigated by our modeling and calculation on a theoretical base. The results show that the glassy metallic magnets has a lower Curie temperature, weaker magnetization, and higher entropy comparing to the regular ferromagnet in crystal form. These findings can be understood with the randomness of the amorphous system, and agrees well with others experimental observations.
We calculate the coefficients of the dimension-8 quark and gluon condensates in the current-current correlator of $1^{-+}$ light hybrid current $gbar{q}(x)gamma_{ u}iG_{mu u}(x)q{(x)}$. With inclusion of these higher-power corrections and updating th
e input parameters, we re-analyze the mass of the $1^{-+}$ light hybrid meson from Monte-Carlo based QCD sum rules. Considering the possible violation of factorization of higher dimensional condensates and variation of $langle g^3G^3rangle$, we obtain a conservative mass range 1.72--2.60,GeV, which favors $pi_{1}(2015)$ as a better hybrid candidate compared with $pi_{1}(1600)$ and $pi_{1}(1400)$.
